Hi Jeremy
the section "Restoration Questions" is not the best place to ask about "faults in a pin" - I usually / mainly visit "EM-Tech section".
The "Up-Post-Down-Post problem" - the ipdb-schematics "Klondike" shows two switches to make the UP-POST-Coil to fire - the "Left side and right side Roll-Over-Switches" and here https://www.ipdb.org/showpic.pl?id=1388&picno=15774&zoom=1 I see them on the playfield.
On the underneathside maybe one switch - maybe a staple of 2 or 3 switches - look there for a bent switch --- not only look at the blades - also look where the wires are soldered-on - a drop of solder fallen there ? A doghair crap of wire there ? One if the solder-lugs heavy bent making contact ? Greetings Rolf